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Finding the Fourth Proportional to 8,002.38, 12,005.38 and 2,738.38

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Solution

The fourth proportional to 8,002.38, 12,005.38 and 2,738.38 is: 4,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.38 : 12,005.38 = 2,738.38 : x
  2. Step 2: Convert to fraction form
    8,002.38/12,005.38 = 2,738.38/x
  3. Step 3: Cross multiply
    8,002.38x = 12,005.38 × 2,738.38
  4. Step 4: Simplify right side
    8,002.38x = 32,875,292.48
  5. Step 5: Solve for x
    x = 32,875,292.48/8,002.38
  6. Step 6: Final answer
    x = 4,108.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.